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Generalized Fractional Differential Equations
2019In this chapter, the theory of linear and nonlinear fractional differential equations is developed and extended to a large class of generalized fractional evolutions. The used method is mostly that of semigroups and propagators as developed in Chapters 4 and 5. As previously, general facts are illustrated on concrete examples.
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Fuzzy Fractional Differential Equations
2020Different materials and processes in many applied sciences like electrical circuits, biology, biomechanics, electrochemistry, electromagnetic processes and, others are widely recognized to be well predicted by using fractional differential operators in accordance with their memory and hereditary properties.
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Fractional Chern insulators in magic-angle twisted bilayer graphene
Nature, 2021Yonglong Xie +2 more
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Signatures of fractional quantum anomalous Hall states in twisted MoTe2
Nature, 2023, Eric Anderson, Chong Wang
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Fractional Integro-Differential Equations
2018Fractional calculus is a generalization of the classical differentiation and integration of non-integer order. Fractional calculus is as old as differential calculus.
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Colloidal Self-Assembly Approaches to Smart Nanostructured Materials
Chemical Reviews, 2022Zhiwei Li Li, Yadong Yin
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Thermodynamic evidence of fractional Chern insulator in moiré MoTe2
Nature, 2023, Patrick Knüppel, Kenji Watanabe
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Observation of fractional edge excitations in nanographene spin chains
Nature, 2021Shantanu Mishra +2 more
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